SU(3)" Excitation in Baryon Resonances

Abstract

Using the three-triplet model and the unique assignments in this model for the resonances $N\left(1466\right)\mathrm{}$, $Z_0\mathrm{}\left(1863\right)\mathrm{}$, and $Z_1\mathrm{}\left(1910\right)\mathrm{}$, the entire three-particle antisymmetric representation 816 of SU(18) is predicted, including the known resonances $Z_1\mathrm{}\left(2190\right)\mathrm{}$, $Z_1\mathrm{}\left(2280\right)\mathrm{}$, $N\left(1751\right)\mathrm{}{\frac{1}{2}}^{+}$, $N\left(1863\right)\mathrm{}{\frac{3}{2}}^{+}$, and $\Delta \mathrm{}\left(1934\right)\mathrm{}{\frac{1}{2}}^{+}$. The four $Z$ resonances are predicted to have $J^P={\frac{1}{2}}^{+}, {\frac{1}{2}}^{+}, {\frac{1}{2}}^{+}, \mathrm{and} {\frac{3}{2}}^{+}$, respectively.